Can someone help me on math pls

Answer: 12 cups

Step-by-step explanation:

Answer:

12 cups

Step-by-step explanation:

1 pint = 2 cups

6 pints = 6 × 2 cups = 12 cups

Answer:

Well you can divide 4.41 by 3 and then use that number and multiply it by 4

Step-by-step explanation:

Answer:

Using this equation: f(x) = 1.47x

The cost of 4 erasers is 5.88

each costs 1.47

Answer:

option a.

2_/2

...................

The researcher needs to use the critical value of t = 2.602 for constructing the 99% confidence interval around the mean.

To determine the critical value (t or z) for constructing a confidence interval, we need to consider two factors: the sample size and the desired level of confidence.

In this case, the researcher has 17 subjects and wants to construct a 99% confidence interval around a mean. The critical value depends on the distribution being used (t-distribution or standard normal distribution) and the degrees of freedom.

For small sample sizes (typically less than 30) or when the population standard deviation is unknown, the t-distribution is used. The degrees of freedom for the t-distribution are calculated as n - 1, where n is the sample size. In this case, the degrees of freedom would be 17 - 1 = 16.

To find the critical value for a 99% confidence interval using the t-distribution, we consult a t-table or use statistical software. Looking up the value for a 99% confidence level with 16 degrees of freedom, we find that the critical value is approximately 2.602.

Therefore, the researcher needs to use the critical value of t = 2.602 for constructing the 99% confidence interval around the mean.

It's important to note that if the sample size is large (typically greater than 30) and the population standard deviation is known, the standard normal distribution (z-distribution) can be used instead of the t-distribution. In that case, the critical value would be obtained directly from the standard normal distribution table or using the corresponding quantile function in statistical software.

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Answer:

-1/4 * x + 2

Step-by-step explanation:

first figure out the slope. You can easily read the point where the graph is crossing the y axis. From there, more right and read how much the graph goes up wor down. You see the graph goes down, so you know the slope must be a negative value. To get the full value of the slope, you need to work out how much the graph goes down if you go 1 right. So when you move 1 right from the point 2 on the y axis, you can't easily read how much it went down. But you can see that the graph passes the pont of x = 4 and y = 1. So it went 4 right and 1 down. To only got 1 down you divide y/x -> 1/4
So the slope is -1/4
and because the graph hits the y axis at 2 and not at 0, you need to add +2 to the equation.

The probability that at least one of the bulbs lasts 900 hours or more is approximately 0.992 or 99.2%.

To solve this problem, we can use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening.

So, let's first find the probability that all three bulbs fail before 900 hours of use. Since each bulb's failure is independent of the others, we can multiply their individual probabilities of failure together:

0.2 × 0.2 × 0.2 = 0.008

This means that the probability of all three bulbs failing is 0.008.

Now, we can use the complement rule to find the probability that at least one bulb lasts 900 hours or more:

1 - 0.008 = 0.992

Therefore, the probability that at least one of the bulbs lasts 900 hours or more is approximately 0.992 or 99.2%.

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The length of segment AP is also equal to the absolute value of the y-coordinate of the given point (i.e. |2| = 2). This is because the y-coordinate of the point lies on the line. So, the correct option is B.  

We are given the coordinates of a point in the orthogonal Cartesian reference system. We are to find the distance of this point from a given line..

Step 1: The equation of the given line : The equation of the given line is not given in the problem statement.

Therefore, we need to find it first.We are given that the line has a y-intercept of 2. So, its equation can be written as:

y = mx + 2 where m is the slope of the line. We need to find the value of m.

The line is orthogonal to the line with equation x = 2.

It means that the given line is vertical. The slope of a vertical line is undefined. So, the equation of the given line is x = 94.

Step 2: The distance of the given point from the line :

Let's draw a diagram for better visualization.The point with coordinates (94, 2) is shown in the diagram. The equation of the line is x = 94.

The shortest distance from the point to the line is the perpendicular distance from the point to the line.

Let the perpendicular from the point to the line meet the line at point P.

Then, the distance of the point from the line is the length of segment AP.

The x-coordinate of point P is 94 (as the line is vertical). The y-coordinate of point P is 0 (as the point lies on the x-axis).

Therefore, coordinates of point P are (94, 0).We need to find the length of segment AP.

The length of segment AP can be found using the distance formula as:

AP = √((94 - 94)² + (2 - 0)²)

AP = √4

= 2

Therefore, the distance of the point with coordinates (94, 2) from the line with equation x = 94 is 2.

So, the correct option is B.

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The solution to the system of equations are (-4, 5), (2, 7), (3, -1), no solution, (-5, 8) and (7, -3)

System of equation can be solved using different method such as elimination method, substitution method and graphical method.

Question 1 and 2

See attachment for the graphs, where we have the solutions to be

System 1: (-4, 5)

System 2: (2, 7)

Question 3 and 4

Here, we solve the system of equation by substitution method.

So, we have

2x - 7y = 13

3x + y = 8

Make y the subject in (2)

y = -3x + 8

Let's substitute the value of y in equation (i)

2x - 7(-3x + 8) = 13

2x + 21x - 56 = 13

23x = 13 + 56

23x = 69

Divide both sides by 23

x = 69 / 23

x = 3

Let's find y

y = -3(3) + 8

y = -9 + 8

y = -1

For system (4), we have

x - 3y = 2

2x - 6y = 6

So, we have

x = 2 + 3y

By substitution, we have

2(2 + 3y) - 6y = 6

4 + 6y - 6y = 6

4 = 6

The system has no solution

Question 5 and 6

Here, we have

x + y = 3

x - 3y = -29

By eliminating x, we have

4y = 32

So, we have

y = 8

This means that

x + 8 = 3

x = -5

So, the solution is (-5, 8)

For system 6, we have

3y = 26 - 5x

6x + 7y = 21

So, we have

5x + 3y = 26

6x + 7y = 21

This gives

30x + 18y = 156

30x + 35y = 105

By elimination, we have

17y = -51

y = -3

This means that

6x + 7(-3) = 21

6x = 42

So, we have

x = 7

So, the solution is (7, -3)

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Answer:length of the strip =3 1/3 meters

Step-by-step explanation:

Step 1

Given that

Area of the rectangular strip= 2/3 square meter

width = 1/5 meter

length = ?

W e know that the formulae for area of a rectangle =  Length x width

using this equation, we will solve for length

Step 2

area of  the rectangular strip=  Length x width

Length = Area / Width

2/3 square meter / 1/5 meter

Length= 2/3 x 5/1 = 10/3= 3 1/3 meter

Answer:

Step-by-step explanation:

\(A=\frac{1}{2} bh\)    where b = base, h = perpendicular height

\(A=\frac{1}{2} (2b)(a+2b)\)

   \(=b(a+2b)\)

   \(=ab +2b^2\)

Generally, a quotient of polynomials is decomposed into at least two partial fractions.

Any valid quotient of polynomials may be broken down into its component parts. When the degree of the numerator is lower than the degree of the denominator, a function is considered to be properly rational. Expressing a valid rational function as the sum of smaller fractions with certain denominators is the first step in breaking it down into partial fractions.

This decomposition can be helpful in a variety of mathematical situations, such as when solving equations involving rational functions or integrals. The denominator's factors determine the partial fractions' form. In particular, the rational function may be broken down into partial fractions with denominators matching to those factors if the denominator of the correct rational function can be factored into linear and/or quadratic irreducible components.

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In the triangle the value for x is obtained as option B: 96°.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

Use the fact that the sum of the exterior angles of a triangle is always 360°.

Let the unknown exterior angle be x.

So, the equation will be -

130° + 134° + x = 360°

264° + x = 360°

x = 360° - 264°

x = 96°

Therefore, the value is obtained as 96°.

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The equation of the tangent line to the curve at the given point is given by: y = x + 1.

Now,

Given:

To find: Equation of a tangent line through the given point.

Finding:

y = \(e^{x}\) cos(x)

By product rule of differentiation, y' = \(e^{x} sin(x) +e^{x} cos(x)\)

For x = 0, y' (0) = 1 (0) + 1( 1) = 1 = slope of the line

Now, we know: equation of a line is given by:

\((y-y_0)=m(x-x_0)\)

For \(x_0 = 0 And y_0 = 1\), The equation of the tangent line will be:

=> y - 1  = 1 (x - 0)

=> y - 1 = x

=> y = x + 1

Hence, The equation of the tangent line to the curve at the given point is given by: y = x + 1.

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0.368 .

The probability that a random variable x is exponentially distributed and less than 45 minutes,

given that the average value is 45 minutes, is 0.368.

This can be calculated by taking the negative of the natural logarithm of 1/2 (i.e. -ln(0.5)) and dividing it by the average value of 45 minutes.

The result, -ln(0.5)/45, equals 0.368, rounded to three decimal places.

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The expressions that are equal to the distance between point A and point B would be

| 3 | + | -2 |

| -3 - 2 |

3 - ( -2 )

| 3 - ( -2 ) |

What is a number line?

In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

In the given number line, the distance between point A and point B is 5.

Now we have to check each option

| 3 | + | -2 | = 3 + 2  = 5

| -2 + 3 | = | 1 | = 1

| -3 - 2 | = | -5 | =5

3 - ( -2 ) = 3+ 2 = 5

| 3 - ( -2 ) | = |3 + 2| = 5

Hence, the expressions that are equal to the distance between point A and point B would be

| 3 | + | -2 |

| -3 - 2 |

3 - ( -2 )

| 3 - ( -2 ) |

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Answer:

Use This it will help

Step-by-step explanation:

Answer:

- 14

Step-by-step explanation:

x = - 6

x^2 - 9x + 4

= ( - 6 )^2 - 9 ( - 6 ) + 4

= 36 + 54 - 4

= 36 - 50

= - 14

Answer:

\(94\)

Step-by-step explanation:

\(x^2 - 9x + 4\)

\((−6 {)}^{2} −9 (−6) + 4\)

\(36 − 9 (−6) + 4\)

\(36 + 54 + 4\)

\(90+4\)

\(94\)

To find the percent of 12th graders who preferred chicken wings, we need to find the proportion of 12th graders who chose chicken wings and then express that as a percentage.

First, let's find the total number of 12th graders:

12th graders = 24 + 27 + 39 = 90

Next, let's find the proportion of 12th graders who chose chicken wings:

proportion = number of 12th graders who chose chicken wings / total number of 12th graders = 24 / 90 = 0.2667

Finally, let's express this proportion as a percentage:

percentage = proportion * 100 = 0.2667 * 100 = 26.67%

So, the bar for 12th graders in the segmented bar chart would show 26.67% for preferring chicken wings.

Therefore, the correct answer is 27%.

Answer:

10.8%

Step-by-step explanation:

I took the STAT test

The value of dy/dt for the given equation with the given conditions is -6/23.

The value of dy/dt for the given equation with the given conditions is -6/23.

To find dy/dt, we need to differentiate the equation implicitly with respect to t.

Differentiating each term with respect to t using the chain rule and product rule, we get 4(dx/dt)(xy) + 4x(dy/dt) - 7(dx/dt) + 15y^2(dy/dt) = 0.

Plugging in the given values of dx/dt = -20, x = 5, and y = -3, we can solve for dy/dt.

Substituting these values into the equation and rearranging terms, we have -80(5)(-3) + 4(5)(dy/dt) - 7(-20) + 15(-3)^2(dy/dt) = 0.

Simplifying this equation yields -1200 + 20(dy/dt) + 140 + 135(dy/dt) = 0.

Combining like terms, we get 155(dy/dt) = 1060. Dividing both sides by 155, we find dy/dt = -6/23.

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The Beta distribution is a continuous probability distribution with support on the interval [0,1], and is often used to model random variables that have limited range, such as probabilities or proportions.

The Beta [a, b] density has the form f(x) = {[(a+b)/([(a) r()) } Xa-1 (1 - X)B-1 +, where a and b are constants and 0 <= x <= 1. This density function describes the probability of observing a value x from a Beta [a, b] distribution.

The parameters a and b are often referred to as shape parameters, and they control the shape of the distribution. Specifically, the larger the values of a and b, the more peaked the distribution will be, while smaller values of a and b will lead to flatter distributions.

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Answer:

$261.80 Net pay

Step-by-step explanation:

340 x 0.23 =   $78.20 in taxes

$340 - $78.20 =  $261.80 Net pay

Answer:

$261.8 Is how much you take home.

Step-by-step explanation:

(* is multiply)

In order to find the percentage of a value, you multiply the value by the percent. Think of 100% as a scale of 1 to 0.00, since 100% of something has all of it's value, so 50% would be 0.5

23% of 340 is 78.2 ( 340 * 0.23)

Subtract 340 by 78.2, and you get your net pay, 261.8

Another way to do this is subtract 100% by 23%.

so 1 - 0.23= 0.77, which is how much percent of that pay you get to keep

so 340 * 0.77 = 261.8

Answer:

991041.2

Step-by-step explanation:

You just have to use a calculator and the order of operations

The first five terms of the sequence with the given nth term are 1, 3/2, 3/2, 9/8, 27/40.

In this question,

The nth term of the sequence is \(a_n=\frac{3^{(n-1)} }{n!}\)

Now substitute the values of n = 1,2,3,4,5

For n = 1,

⇒ \(a_1=\frac{3^{(1-1)} }{1!}\)

⇒ \(a_1=\frac{3^{0} }{1}\)

⇒ a₁ = 1

For n = 2,

⇒ \(a_2=\frac{3^{(2-1)} }{2!}\)

⇒ \(a_2=\frac{3^{(1)} }{(1)(2)}\)

⇒ \(a_2=\frac{3}{2}\)

For n = 3,

⇒ \(a_3=\frac{3^{(3-1)} }{3!}\)

⇒ \(a_3=\frac{3^{(2)} }{(1)(2)(3)}\)

⇒ \(a_3=\frac{9}{6}\)

⇒ \(a_3=\frac{3}{2}\)

For n = 4,

⇒ \(a_4=\frac{3^{(4-1)} }{4!}\)

⇒ \(a_4=\frac{3^{(3)} }{(1)(2)(3)(4)}\)

⇒ \(a_4=\frac{27}{24}\)

⇒ \(a_4=\frac{9}{8}\)

For n = 5,

⇒ \(a_5=\frac{3^{(5-1)} }{5!}\)

⇒ \(a_5=\frac{3^{(4)} }{(1)(2)(3)(4)(5)}\)

⇒ \(a_5=\frac{81}{120}\)

⇒ \(a_5=\frac{27}{40}\)

Hence we can conclude that the first five terms of the sequence with the given nth term are 1, 3/2, 3/2, 9/8, 27/40.

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2.80 divided by 8 = 0.35(PACKAGE 1)

5.10 divided by 15 = 0.34(PACKAGE 2)

8.58 divided by 26 = 0.33(PACKAGE 3)

Just giving a hint

Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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The number of bracelets and the number of necklaces will be 10 and 5, respectively.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

A gem dealer had a proper measure of gold to make wristbands and pieces of jewelry. The amount of gold in every armband is 5 grams and the amount of gold in every accessory is 16 grams. A goldsmith utilized 130 grams.

Let 'x' be the number of Bracelets and 'y' be the number of Necklaces. Then the equation is given as,

5x + 16y = 130

The term 16y in the equation should be a multiple of 5 to get the whole value.

If the value of y is 5. Then the number of bracelets is given as,

5x + 16(5) = 130

5x + 80 = 130

5x = 50

x = 10

The number of bracelets and the number of necklaces will be 10 and 5, respectively.

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To identify the inequality of the given graph:

1. Identify the equation of the borderline in slope-intercept form (y=mx+b)

- Find the slope (m): Use two points in the line in the next formula:

- Identify the y-intercept (b): the value of y where the line cross the y-axis (when x is 0)

b= -1

Equation of the border line:

2, Identifify the inequality sing:

-When the inequality is < or > the borderline is a dotted line

-When the inequality is ≥ or ≤ the border line is a full line

-When the inequality is < or ≤ the shaded area is under the borderline

-When the inequality is > or ≥ the shaded are is over the borderline

In this case you have a dotted borderline and a shaded area under the borderline, then, the inequality is:

The f-test can be used to test the linear hypothesis, except for the β2. The linear hypothesis mentioned can be tested using the f-test, except for the β2

In hypothesis testing, the f-test is used to determine if there is a significant difference between the variances of two or more groups or conditions.

It is commonly used in analysis of variance (ANOVA) tests. The f-test compares the variability between groups to the variability within groups. To conduct an f-test, you need to calculate the f-statistic by dividing the mean square between groups by the mean square within groups. The resulting f-statistic is then compared to the critical value from the F-distribution. If the calculated f-statistic is greater than the critical value, the null hypothesis is rejected, indicating that there is a significant difference between the groups. In this case, the linear hypothesis can be tested using the f-test, but the exception is the β2 group of answer choices. This means that the β2 coefficient is not involved in the hypothesis being tested using the f-test. In conclusion, the f-test can be used to test the linear hypothesis, except for the β2 group of answer choices.

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To find the minimum sample size needed to estimate the mean of a population with a certain level of confidence and margin of error, you can use the following formula: n = (Z^2 * p * (1 - p)) / e^2

What is mean?

The mean, also known as the arithmetic average, is a measure of central tendency that represents the average value of a set of data. To calculate the mean of a set of numbers, you add up all the numbers in the set and then divide the sum by the number of numbers in the set.

n is the minimum sample size
Z is the z-score corresponding to the desired level of confidence (e.g. for a confidence level of 92%, the z-score would be approximately 1.75)
p is the estimated proportion of the population that has the characteristic of interest (e.g. if you are trying to estimate the mean age of a population and you believe that about 50% of the population is within 5 years of the true mean age, then p would be 0.5)

e is the margin of error (e.g. if you want the error to be within 5 years of the true mean age, then e would be 5)

Plugging in the values given in the problem, we get:

n = (1.75^2 * 0.5 * (1 - 0.5)) / 5^2

= (3.0625 * 0.5 * 0.5) / 25

= 0.122 / 25

= 0.0049

Since sample size must be a whole number, we would need to round up to the nearest integer, which would be a minimum of 1 sample. However, it is generally recommended to use a larger sample size to increase the precision and reliability of the estimate.

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